# Coordinate Geometry – Objective Questions- grade 9

Given below are important objective type questions on coordinate geometry for Grade 9 students.

All the questions are provided with solution and explanation.

(01) The other name of x axis is:

(a) Ordinate
(b) Abscissa

Solution
Option (b) is correct

(02) The other name for ” y axis” is

(a) Ordinate
(b) Abscissa

Solution
Option (b) is correct

(03) The intersection of x axis and y axis is called;

(a) Abscissa
(b) Origin
(c) Ordinate
(d) Coordinate

Solution
Option (b) is correct.

The point of intersection of x and y axis has coordinate (0, 0) and is called origin.

(04) What is the angle of intersection of x and y axis;

(a) 60 degree
(b) 30 degree
(c) 45 degree
(d) 90 degree

Solution
Option (d) is correct.

Both x and y axis intersect each other at right angles.

(05) Tell the location of point (-4, 0)

(a) x axis
(b) y axis
(c) line parallel to x axis
(d) line parallel to y axis

Solution
Option (a) is correct.

The point (-4, 0) lie exactly on x axis.

Given below is the location of point on graph paper.

(06) In which quadrant does point (-3, 6) lie ?

(a) First
(b) Second
(c) Third
(d) Fourth

Solution
Option (b) is correct.

In the given point (-3, 6); x coordinate is negative and y coordinate is positive which is only possible in second quadrant.

Given below is the location of point along with quadrant.

(07) In which quadrant does point (3, -4) lie ?

(a) First
(b) Second
(c) Third
(d) Fourth

Solution
Option (d) is correct.

In the given point (3, -4), x coordinate is positive and y coordinate is negative which is possible only in fourth quadrant.

(08) What is the value of x coordinate of ” y axis line ” ?

(a) 2
(b) 5
(c) 0
(d) 1

Solution
Option (c) is correct

In y axis line, the value of x coordinate is zero.

(09) They coordinate of a point is a positive value. In which quadrant can the given point lie ?

Solution
Option (a) is correct.

Only in first and second quadrant, the positive value of y coordinate is possible.

(10) Let the given point is (-5, 3). What is the perpendicular distance of given point from y axis ?

(a) 10 units
(b) 3 units
(c) 6 units
(d) 5 units

Solution
Option (d) is correct

In coordinate geometry, the x coordinate tells the locate of point from y axis.

(11) Let the given point is (-2, -4). What is the perpendicular distance of point from x axis ?

(a) 2 units
(b) 4 units
(c) 6 units
(d) 8 units

Solution
Option (b) is correct.

In coordinate geometry, the y coordinate tells the perpendicular distance from x axis.

(12) Calculate the distance of point (-3, -4) from origin

(a) 7 units
(b) 6 units
(c) 10 units
(d) 5 units

Solution
Option (d) is correct

Here the point A is point (-3, -4).

Consider the right triangle OAB in above figure.

AB = 3 units
BC = 4 units

Applying Pythagoras theorem;

\mathtt{OA^{2} =AB^{2} +BO^{2}}\\\ \\ \mathtt{OA^{2} =3^{2} +4^{2}}\\\ \\ \mathtt{OA^{2} =9\ +\ 16}\\\ \\ \mathtt{OA^{2} =\ 25}\\\ \\ \mathtt{OA\ =\ 5\ units}

Hence, the point is located 5 units from origin.